The truncation method for the Cauchy problem of the inhomogeneous Helmholtz equation

DOI10.1080/00036811.2017.1408080zbMath1409.35233OpenAlexW2775819239MaRDI QIDQ4628927

Fan Yang, Pan Zhang, Xiao-Xiao Li

Publication date: 25 March 2019

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2017.1408080

zbMATH Keywords

error estimateregularization methodill-posed probleminhomogeneous Helmholtz equation

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Linear operators and ill-posed problems, regularization (47A52)

Related Items (14)

Unknown source identification problem for space-time fractional diffusion equation: optimal error bound analysis and regularization method ⋮ Regularization of inverse initial problem for conformable pseudo-parabolic equation with inhomogeneous term ⋮ Landweber iterative method for identifying the initial value problem of the time-space fractional diffusion-wave equation ⋮ An alternating iterative method for solving the Cauchy problem for the Helmholtz equation in Interior multiply connected domain ⋮ An effective relaxed alternating procedure for Cauchy problem connected with Helmholtz Equation ⋮ Adaptive Runge-Kutta regularization for a Cauchy problem of a modified Helmholtz equation ⋮ The fractional Landweber method for identifying the space source term problem for time-space fractional diffusion equation ⋮ LANDWEBER ITERATIVE METHOD FOR AN INVERSE SOURCE PROBLEM OF TIME-FRACTIONAL DIFFUSION-WAVE EQUATION ON SPHERICALLY SYMMETRIC DOMAIN ⋮ Tikhonov regularization method for identifying the space-dependent source for time-fractional diffusion equation on a columnar symmetric domain ⋮ A potential-free field inverse Schrödinger problem: optimal error bound analysis and regularization method ⋮ Maximum likelihood gradient identification for multivariate equation‐error moving average systems using the multi‐innovation theory ⋮ State estimation for bilinear systems through minimizing the covariance matrix of the state estimation errors ⋮ The filtering‐based maximum likelihood iterative estimation algorithms for a special class of nonlinear systems with autoregressive moving average noise using the hierarchical identification principle ⋮ Hierarchical recursive generalized extended least squares estimation algorithms for a class of nonlinear stochastic systems with colored noise

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